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Determine the number of ways in which a jury of 6 men and 6 women can be selected from a group of 11 men and 14 women.

1 Answer

7 votes

Answer:

1387386 ways.

Explanation:

This is solved using the combination rule

C(n, r) = nCr = n!/r! (n - r)!

The number of ways in which a jury of 6 men and 6 women can be selected from a group of 11 men and 14 women is calculated as:

11C6 × 14C6

= 11/6! (11 - 6)! × 14/6!(14-6)!

= 11/6! × 5! × 14!/6! × 8!

= 462 × 3,003

= 1387386 ways.

User Nimesh Neema
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